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The principle of mathematical induction states that if a certain mathematical relation is true for a base integer and, thereafter, assuming the relation to be true for an integer k greater than the base integer, if we can prove the relation to be true for k+1, the relation is true for all integers greater than the base integer. Step 1: The formula holds for n=1 because. Step 2: Suppose. Then, by triangular inequality. So, by transitivity, we have. Hence, by principal of mathematical induction the inequality is true for all n. What are Chegg Study step-by-step Calculus: Graphical, Numerical, Algebraic 3rd Edition Solutions Manuals?

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